Computer classification of linear codes

Titelangaben

Bouyukliev, Iliya ; Bouyuklieva, Stefka ; Kurz, Sascha:
Computer classification of linear codes.
In: IEEE Transactions on Information Theory. Bd. 67 (2021) Heft 12 . - S. 7807-7814.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2021.3114280

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Abstract

We present algorithms for classification of linear codes over finite fields, based on canonical augmentation and on lattice point enumeration. We apply these algorithms to obtain classification results over fields with 2, 3 and 4 elements. We validate a correct implementation of the algorithms with known classification results from the literature, which we partially extend to larger ranges of parameters.